@Article{Selvarangam2019, author = "Selvarangam, S. and Rupadevi, S. A. and Thandapani, E. and Pinelas, S.", title = "Oscillation criteria for even order neutral difference equations", journal = "Opuscula Math.", year = "2019", volume = "39", number = "1", pages = "91--108", doi = "https://doi.org/10.7494/OpMath.2019.39.1.91", url = "https://doi.org/10.7494/OpMath.2019.39.1.91", abstract = "In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form \[\Delta^m(x_n+ax_{n-\tau_1}+bx_{n+\tau_2})+p_nx_{n-\sigma_1}^{\alpha}+q_nx_{n+\sigma_2}^{\beta}=0,\quad n\geq n_0\gt0,\] where \(m\geq 2\) is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.", keywords = "even order, neutral difference equation, oscillation, asymptotic behavior, mixed type", issn = "1232-9274" }